SEMICLASSICAL APPROACH FOR THE GENERALIZED HAUS EQUATION DESCRIBING THE RADIATION IN A CAVITY OF A LASER WITH PULSED PUMPING

The generalized Haus equation is considered, which accounts for the non-stationarity of active medium pumping conditions. We propose an approach to the construction of asymptotic solutions to such equation based on the method of semiclassically concentrated states. For this purpose, the model is presented in a nonlocal form, and various options of the relation between model parameters and a small parameter of semiclassical approximation are considered. The equations for the terms of the asymptotic expansion for an envelope of a laser radiation mode in a cavity are obtained in an explicit way. The approach proposed allows one to estimate the shape, duration, and power of a radiation pulse.